MATHEMATICS HIGH SCHOOL

Translate the word phrase into a variable expression. eight less than the quotient of x and 3
A.
3x – 8

B.
x3/-8

C.
x-8/3

D.
8-x/3

Answers

Answer 1
Answer: B quotient means divide so it is x/3 then 8 less means to subtract

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What is 2/3+3k/4=71/12 how do u solve this
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Suppose that X and Y have the following joint probability function: f(x,y) = { 3x, | 32, if 0 ≤ y ≤1 0, otherwise. a) Find the variance of the random variables X. b) Find the conditional PDF of Y given X.

Answers

Answer:

see below

Step-by-step explanation:

a) The variance of random variable X is

−

33

4

−

4

33

​

.

b) The conditional PDF of Y given X is:

For

0

≤

�

≤

1

0≤y≤1,

�

(

�

∣

�

)

=

1

f(y∣x)=1.

For

�

y outside the range [0, 1],

�

(

�

∣

�

)

=

0

f(y∣x)=0.

Juana’s dad gave her an exponentially increasing allowance as an experiment. On the first day, he gave her 1¢. On the second day he doubled it and gave her 2¢, and on the third day, he doubled that and gave her 4¢. He kept doubling the previous day’s amount for a total of 10 days. How much did he give her on the tenth day? 18¢

Answers

$5.12

Make a chart for this sort of problem it makes it easier. Excel is good for it

During a pumpkin launching contest, two pumpkins are launched at the same time. The path of pumpkin A is modeled by the equation h(x) = –0.01x2 + 0.32x + 4. The path of pumpkin B is modeled by the equation h(x) = –0.01x2 + 0.18x + 5. If x represents the distance the pumpkin traveled and h(x) represents height, what does the intersection point of the equations represent?

Answers

You just need to solve for x in the equation:
–0.01x^2 + 0.32x + 4 = –0.01x^2 + 0.18x + 5
0.18x=1
x= 5.55
h(5.55) = -0.01*30.86+0.18*5.55+5 = -0.3086+1+5=5.6914

The intersection point is (5.55, 5.69).
I hope that this is the answer that you were looking for and it has helped you.

D.) The distance at which the height of the pumpkins are the same.


I need help with 8-35 and 8-36

Answers

Answer:

8 - 35

a. 350 unit²

b. 81.23  unit²

c. 41.57 unit²

8 - 36

Beth should buy 3 bags of fertilizer

Step-by-step explanation:

8 - 35

a. The figure consists of 9 isosceles triangles of side lengths 11 and vertex angle = 360/9 = 40°

Hence base angles = (180 - 40)/2 = 70°

Therefore, the base of the triangles = sin(40) × 11/sin(70) = 7.52

Hence area of figure = 9 × 0.5 × 7.52 × √(11² - (7.52/2)²) =349.99 ≈ 350 unit²

b. Area of a decagon

We note that the vertex angle = 36°

∴ Half the base = tan(18) × 5 = 1.62

Area = 10 × 1.62 × 5 = 81.23  unit²

c. The area of a hexagon = s^2 * (3√(3) )/(2)

s = 4 therefore, the area = 4^2 * (3√(3) )/(2) = 41.57 \, unit^2

8 - 36

Area, A of a regular pentagon = A = a^2 * (1)/(4) \sqrt{5(5 + 2√(5) )}

a = 15 ft., therefore, A = 15^2 * (1)/(4) \sqrt{5(5 + 2√(5) )} = 387.11 ft.²

Therefore, since a bag of fertilizer can fertilize 150 ft.², the number of bags of fertilizer that will fertilize 387.11 ft.² will be 387.11/150 = 2.58 bags

Therefore, since 2 bags of fertilizers will not be enough, Beth should buy 3 bags of fertilizer.

Help me asap .... will crown brainiest !

Answers

Answer:

B of course you dummy

Step-by-step explanation:

Mt. Everest is 29,028 feet high. How many miles in this? (there are 5,280 feet in one mile) Solve.

Answers

That would be about 5.49 miles.


From 29,028 feet, divide that by 5,280 feet. This number gives you the amount of miles, which is roughly 5.49.
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